- Determine the real root of f(x) = x5 10x4 + 46x3 90x2 + 85x 31
- Using the bisection method to determine the root with s = 10%. Employ the initial guesses of xl = 0.5 and xu = 1.
- Perform the same computation as in (b) but use the false position methodand s = 0.2%.
- Determine the lowest real root of f(x) = 3x3 + 20x2 20x 12
- Using the bisection method to determine the lowest root with s = 2%. Employ the initial guesses of xl = 1 and xu = 0.
- Perform the same computation as in (b) but using the false position method.
- Textbook problem 5.13.
- Determine the real roots of f(x) = 0.5x3 4x2 + 8x 1
- Using the Newton-Raphson method to within s = 0.01%.
- Determine all roots of f(x) = 3x3 + 20x2 20x 12
- Using the Secant method to a value of s corresponding to three significant figures.
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